Question

Three men, four women and six children can complete a work in seven days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work, in $7$ days ?

• A. $7$
• B. $8$
• C. Cannot be determined
• D. None of these

Answer 1

The correct option is A $7$

2 Men = 1 Woman

$\Rightarrow$ 1 Men = $\frac{1}{2}$ Woman

$\Rightarrow$ 3 Men = $\frac{3}{2}$ Woman

Again 2 children = 1 man

$=\frac{1}{2}$ Woman

$\Rightarrow$ 1 child = $\frac{1}{4}$ Women

$\Rightarrow$ 6 childern = $\frac{6}{4}=\frac{3}{2}$ women.

Now 3 Men , 4 Woman & sin x children

$=\frac{3}{2}+4+\frac{3}{2}=7$ Woman

Hence 7 Woman computer the work in 7 days.